Solving Linear Word Problems with y=mx+b

The video tutorial covers solving word problems using linear equations, focusing on identifying slope and y-intercept words. It provides examples, such as an iceberg melting and business revenue, to illustrate the process. The tutorial emphasizes the importance of setting up equations and revisiting questions to ensure complete solutions. Tips for recognizing key terms and solving equations are also provided.

What type of equations will the word problems in this video focus on?

• Exponential equations

• Linear equations

• Logarithmic equations

• Quadratic equations

Which form of the equation is recommended for solving these word problems?

• y = ax^2 + bx + c

• y = a * b^x

• y = mx + b

• y = log(x)

What does the 'm' represent in the equation y = mx + b?

• Y-intercept

• Slope

• Constant term

• Variable

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following words is commonly associated with the slope in word problems?

• Starting

• Per

• Original

• Initial

Tags

CCSS.8.EE.B.5

In the iceberg melting problem, what is the initial volume of the iceberg?

• 2002 cubic centimeters

• 2356 cubic centimeters

• 4 cubic centimeters

• 2020 cubic centimeters

Tags

CCSS.HSF-LE.A.1C

What is the slope in the iceberg melting problem?

• 4 cubic centimeters per year

• -4 cubic centimeters per year

• 2356 cubic centimeters

• -2356 cubic centimeters

Tags

CCSS.8.EE.B.5

In the business revenue problem, what is the startup cost?

• $400,000

• $25,000

• $4,000

• $16,000

Tags

CCSS.HSF.LE.B.5

How much does the business earn per month in the revenue problem?

• $16,000

• $400,000

• $25,000

• $4,000

Tags

CCSS.HSF.LE.B.5

What does it mean for the business to break even in the revenue problem?

• The business has no revenue

• The business has paid off its startup cost

• The business is losing money

• The business is making a profit

What should you do after forming the equation in a word problem?

• Change the equation form

• Move on to the next problem

• Ignore the equation

• Reread the question to ensure all parts are answered